Theorems · Theorem · commutative algebra
HahnSeries.C_apply
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : NonAssocSemiring R] (a : R), HahnSeries.C a = (HahnSeries.single 0) a- Cited by
- 6 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- NonAssocSemiringstatement and proof · cited by 805
- HahnSeriesstatement · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement · cited by 82
- HahnSeries.Cstatement and proof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- LaurentSeries.ofPowerSeries_powerSeriesPartproof · cited by 2
- HahnSeries.C_injectiveproof · cited by 1
- LaurentSeries.algebraMap_C_mem_adicCompletionIntegersproof · cited by 0
- LaurentSeries.algebraMap_applyproof · cited by 0
- HahnSeries.embDomainRingHom_Cproof · cited by 0
- HahnSeries.map_Cproof · cited by 0